Stabilization effect of a rotating magnetic field on the flow of a conducting liquid in a cylindrical container

This study presents a numerical stability analysis of a flow of electrically conducting liquid driven by a rotating magnetic field in a cylindrical container. The aim of the work is to investigate the previously often neglected effect of the strength of the rotating magnetic field on the stability of the flow driven by the field. Linear hydrodynamic stability analysis has been carried out by Chebyshev-tau and Galerkin spectral numerical methods. We find that the strength of the rotating magnetic field has a stabilizing effect on the flow. The obtained results may be of practical relevance for certain semiconductor growth technologies from the melt.